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Finding the Fourth Proportional to 4,758.66, 7,125.03 and 3,700.80

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Solution

The fourth proportional to 4,758.66, 7,125.03 and 3,700.80 is: 5,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.66 : 7,125.03 = 3,700.80 : x
  2. Step 2: Convert to fraction form
    4,758.66/7,125.03 = 3,700.80/x
  3. Step 3: Cross multiply
    4,758.66x = 7,125.03 × 3,700.80
  4. Step 4: Simplify right side
    4,758.66x = 26,368,311.02
  5. Step 5: Solve for x
    x = 26,368,311.02/4,758.66
  6. Step 6: Final answer
    x = 5,541.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.